Suppose that y varies directly with x and inversely with z; y = 27 when
x = 21, and z = 7. Write the equation that models the relationship. Then
find y when x = 25 and z = = 5.

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Given

The objective is to solve for y, that is, isolate the y-term in one side of the expression.

The first step is to pass "-1/5y" to the left side of the expression by applying the inverse operation

Next pass "+2" to the right side of the expression

Finally multiply both sides by -5

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

(3, -2) is the correct choice.

Answer: 500.7

500.75 = 500.7

Step-by-step explanation:

The estimated value is 500

Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').

Given that, 9965 divided by 19.9 estimate

Let 9965 ≈ 9970

19.9 ≈ 20

9970 ÷ 20

9970 / 20

= 498.5

≈ 500

Hence, the estimated value is 500.

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

1. Choclate Drink

2. Coffee

3. 19 % difference

4.  1 % difference

5. 42% difference

Step-by-step explanation:

4

1-

6

Step-by-step explanation:

its because i cant understand

Answer:

\(\Large \displaystyle \frac{7}{8}\)

Step-by-step explanation:

Volume = area of cross-section × height

Mixed to improper fraction

7/4 × 1/2 = 7/8

The equation of the line in slope-intercept form that passes through (3, 4) and (4, 9) is: y = 5x - 11.

The equation of a line can be written in point-slope form as y - b = m(x - a), if we know the slope (m) and a point (a, b) on the line. It can be rewritten to the slope-intercept form as y = mx + b.

Given the points on a line:

(3, 4) and (4, 9)

Slope of the line (m) = change in y / change in x = (9 - 4)/(4 - 3)

Slope of the line (m) = 5/1

m = 5

To write the equation of the line, substitute m = 5 and (a, b) = (3, 4) into y - b = m(x - a):

y - 4 = 5(x - 3)

Rewrite in slope-intercept form:

y - 4 = 5x - 15

y = 5x - 15 + 4

y = 5x - 11 [equation of the line]

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The numerical value of the algebraic expression 1.5 × 6 + 8.3 is 17.3; The factors are 1.5 and 6 & the terms: 1.5 * 6 and 8.3

From the question, we have the following parameters that can be used in our computation:

1.5 × 6 + 8.3

The above expression is an algebraic expression and as such the parts of the expressions are

When the expression is evaluated, we have

1.5 × 6 + 8.3 = 17.3

This means that the result of evaluating the expression 1.5 × 6 + 8.3 is 17.3

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Answer:

a) $2380
b) $2832.2

Step-by-step explanation:

Compound Interest Formula:

\(A=P(1+\frac{r}{n} )^n^t\)

Compounding interest is when it increases exponentially every year. When it increases 19% per year, you multiply by 19% the new amount instead being based off the original value. In this case, after a year, 119% of 2000 would be 2380. Then, you would multiply 2380 by 119% to get the new amount (2832.2), instead of adding 19% of 2000 again (if it were simple interest you would just add 380 again instead of compounding).

A is the final amount after compounding.

P is the principle, or the amount you start with.

R is the interest rate.

t is the number of  time periods (in this case 1/2 years).

n is the number of times interest is applied per time period (t) (it's still 1/2 because the interest is applied once per year).

Answer:a) $2380

b) $2832.2

Step-by-step explanation:

SOLUTION

WE CAN SEE THAT 512(8)=4096

THEREFORE, THE VOLUME OF THE LARGER BOX IS 8 TIMES THE VOLUME OF THE SMALLER BOX.

The second option is the correct answer.

The length of WX formed by the centroid is 5 unit.

The centre of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Given:

CW = 15 feet

X is the centroid of triangle ABC

As, centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

So, WX = 1/3 (CW)

WX = 1/3 (15)

WX = 5 unit

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The question attached here is seems to be incomplete, the complete question is attached below.

Answer:

all of them except for A (rhombus)

Answer:

-5x1/2= -2.5 14x1/8= 1.75

Step-by-step explanation:

-2.5+1.75=-0.75

Answer:

-3/4

Step-by-step explanation:

Plug in values of x and y into expression:

\(-5(\frac{1}{2})+14(\frac{1}{8})=\)

\(-\frac{5}{2} +\frac{14}{8}=\)

Find common denominator:

\(-\frac{5*4}{2*4} +\frac{14}{8}=\)

\(-\frac{20}{8} +\frac{14}{8}=\frac{14}{8}-\frac{20}{8}=\)

Solve numerator:

\(14-20=-6\)

So,

\(=-\frac{6}{8}=-\frac{3}{4}\)

Answer:

The percentage is 68.26%

Step-by-step explanation:

Before we use the empirical rule , we need to find the value of the z-score

Mathematically;

z-score = (x - mean)/SD

Thus;

z-score = (7.85 - 7.45)/0.4 = 0.4/0.4 = 1

So the percentage we want to calculate now is the percentage of values within 1 standard deviation of the mean

According to the empirical rule, 68.26% of values are within 1 standard deviation of the mean

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▹ Answer

180 miles

▹ Step-by-Step Explanation

Distance = mph * hours

Distance = 45 mph * 4 hrs

Distance = 180 miles

Hope this helps!

CloutAnswers ❁

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Answer:

f(x) shifts for log(DWX)

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

C

Step-by-step explanation:

The y-intercept is (0,5) which narrows it down to A and C.

The "slope" is in the positive sections.

So, it's C.

Hope this helped! :)

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

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Answer:

where is the list?????

Step-by-step explanation:

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer: Go to a website called desmos and type in the equations to see

Answer:

Parallel

Step-by-step explanation:

Move all the terms so that both equations look like y = mx +b

-3x = 3 - y

y = 3x + 3

3 + y = 3x - 2

y = 3x - 2 - 3

y = 3x - 5

They have the same slope, but not the same y-intercept, so they are parallel

Answer:Hlello, my name is woods245.

So you have the problem b - 3>5 and is says that b=6.

So know the problem looks like this. 6 - 3>5.

Step-by-step explanation:

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation: